
"""simple docstring"""




_A     :			Optional[Any]  						=			{
    "A": ["B", "C", "E"],
    "B": ["A", "D", "E"],
    "C": ["A", "F", "G"],
    "D": ["B"],
    "E": ["A", "B", "D"],
    "F": ["C"],
    "G": ["C"],
}


def     __magic_name__      ( __snake_case							:			Optional[Any]	,					__snake_case							:			Dict	,					__snake_case							:			str    )					->							Dict:
       lowercase       :							Dict									=				set()
       # keep track of all the paths to be checked
       lowercase       :							Tuple									=				[[start]]

       # return path if start is goal
       if start == goal:
              return [start]

       # keeps looping until all possible paths have been checked
       while queue:
              # pop the first path from the queue
              lowercase       :							List[str]									=				queue.pop(0    )
              # get the last node from the path
              lowercase       :							List[str]									=				path[-1]
              if node not in explored:
                     lowercase       :							List[Any]									=				graph[node]
                     # go through all neighbour nodes, construct a new path and
                     # push it into the queue
                     for neighbour in neighbours:
                            lowercase       :							str									=				list(UpperCamelCase_    )
                            new_path.append(UpperCamelCase_    )
                            queue.append(UpperCamelCase_    )
                            # return path if neighbour is goal
                            if neighbour == goal:
                                   return new_path

            # mark node as explored
                     explored.add(UpperCamelCase_    )

    # in case there's no path between the 2 nodes
       return []


def     __magic_name__      ( __snake_case							:			Optional[int]	,					__snake_case							:			List[str]	,					__snake_case							:			Tuple    )					->							int:






       if not graph or start not in graph or target not in graph:
              return -1
       if start == target:
              return 0
       lowercase       :							Tuple									=				[start]
       lowercase       :							str									=				set(UpperCamelCase_    )
       # Keep tab on distances from `start` node.
       lowercase       :							int									=				{start: 0, target: -1}
       while queue:
              lowercase       :							Optional[Any]									=				queue.pop(0    )
              if node == target:
                     lowercase       :							List[Any]									=				(
                         dist[node] if dist[target] == -1 else min(dist[target]	,					dist[node]    )
                     )
              for adjacent in graph[node]:
                     if adjacent not in visited:
                            visited.add(UpperCamelCase_    )
                            queue.append(UpperCamelCase_    )
                            lowercase       :							List[Any]									=				dist[node] + 1
       return dist[target]


if __name__ == "__main__":
   print(bfs_shortest_path(demo_graph, """G""", """D"""))  # returns ['G', 'C', 'A', 'B', 'D']
   print(bfs_shortest_path_distance(demo_graph, """G""", """D"""))  # returns 4






from __future__ import annotations

from math import pow, sqrt
def      UpperCAmelCase__		(UpperCamelCase_				,UpperCamelCase_				,UpperCamelCase_							):



     """simple docstring"""






     if (resistance, reactance, impedance).count(0							) != 1:
          raise ValueError('''One and only one argument must be 0'''							)
     if resistance == 0:
          return {"resistance": sqrt(pow(UpperCamelCase_				,2							) - pow(UpperCamelCase_				,2							)							)}
     elif reactance == 0:
          return {"reactance": sqrt(pow(UpperCamelCase_				,2							) - pow(UpperCamelCase_				,2							)							)}
     elif impedance == 0:
          return {"impedance": sqrt(pow(UpperCamelCase_				,2							) + pow(UpperCamelCase_				,2							)							)}
     else:
          raise ValueError('''Exactly one argument must be 0'''							)


if __name__ == "__main__":
 import doctest

 doctest.testmod()




